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Finding the Third Proportional to 984,577 and 1,475,223

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Solution

The third proportional to 984,577 and 1,475,223 is: 2,210,373.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,577 : 1,475,223 = 1,475,223 : x
  2. Step 2: Convert to fraction form
    984,577/1,475,223 = 1,475,223/x
  3. Step 3: Cross multiply
    984,577x = 1,475,223 × 1,475,223
  4. Step 4: Simplify right side
    984,577x = 2,176,282,899,729
  5. Step 5: Solve for x
    x = 2,176,282,899,729/984,577
  6. Step 6: Final answer
    x = 2,210,373.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.